{"record_type":"pith_number_record","schema_url":"https://pith.science/schemas/pith-number/v1.json","pith_number":"pith:2017:R2FMKB6OSCJKMVFSOAOCJVFVNN","short_pith_number":"pith:R2FMKB6O","schema_version":"1.0","canonical_sha256":"8e8ac507ce9092a654b2701c24d4b56b4bb68416c2ebb4900e0259b0abdded4d","source":{"kind":"arxiv","id":"1702.05451","version":2},"attestation_state":"computed","paper":{"title":"Stress Response of Granular Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Bulbul Chakraborty, Kabir Ramola","submitted_at":"2017-02-17T17:26:28Z","abstract_excerpt":"We develop a framework for stress response in two dimensional granular media, with and without friction, that respects vector force balance at the microscopic level. We introduce local gauge degrees of freedom that determine the response of contact forces between constituent grains on a given, disordered, contact network, to external perturbations. By mapping this response to the spectral properties of the graph Laplacian corresponding to the underlying contact network, we show that this naturally leads to spatial localization of forces. We present numerical evidence for localization using exa"},"verification_status":{"content_addressed":true,"pith_receipt":true,"author_attested":false,"weak_author_claims":0,"strong_author_claims":0,"externally_anchored":false,"storage_verified":false,"citation_signatures":0,"replication_records":0,"graph_snapshot":true,"references_resolved":false,"formal_links_present":false},"canonical_record":{"source":{"id":"1702.05451","kind":"arxiv","version":2},"metadata":{"license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","primary_cat":"cond-mat.dis-nn","submitted_at":"2017-02-17T17:26:28Z","cross_cats_sorted":[],"title_canon_sha256":"4c3272911707ea3631480e714ba459981bb4b23bbbb037b6d197bf8332953646","abstract_canon_sha256":"d92ae41ecdcf38c5ed2b772868abc58612ba0078e363356574cfafe23ada9b5a"},"schema_version":"1.0"},"receipt":{"kind":"pith_receipt","key_id":"pith-v1-2026-05","algorithm":"ed25519","signed_at":"2026-05-18T00:32:59.874741Z","signature_b64":"QtPjQXU0FPXKcHKJX6Wr+7pa4U7IdPzmioJld/VH9Ic4hMNflE/QNFwCErbCjHpzJlf2OL6kdEf6C6DupIwVAA==","signed_message":"canonical_sha256_bytes","builder_version":"pith-number-builder-2026-05-17-v1","receipt_version":"0.3","canonical_sha256":"8e8ac507ce9092a654b2701c24d4b56b4bb68416c2ebb4900e0259b0abdded4d","last_reissued_at":"2026-05-18T00:32:59.874134Z","signature_status":"signed_v1","first_computed_at":"2026-05-18T00:32:59.874134Z","public_key_fingerprint":"8d4b5ee74e4693bcd1df2446408b0d54"},"graph_snapshot":{"paper":{"title":"Stress Response of Granular Systems","license":"http://arxiv.org/licenses/nonexclusive-distrib/1.0/","headline":"","cross_cats":[],"primary_cat":"cond-mat.dis-nn","authors_text":"Bulbul Chakraborty, Kabir Ramola","submitted_at":"2017-02-17T17:26:28Z","abstract_excerpt":"We develop a framework for stress response in two dimensional granular media, with and without friction, that respects vector force balance at the microscopic level. We introduce local gauge degrees of freedom that determine the response of contact forces between constituent grains on a given, disordered, contact network, to external perturbations. By mapping this response to the spectral properties of the graph Laplacian corresponding to the underlying contact network, we show that this naturally leads to spatial localization of forces. We present numerical evidence for localization using exa"},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1702.05451","kind":"arxiv","version":2},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"},"aliases":[{"alias_kind":"arxiv","alias_value":"1702.05451","created_at":"2026-05-18T00:32:59.874229+00:00"},{"alias_kind":"arxiv_version","alias_value":"1702.05451v2","created_at":"2026-05-18T00:32:59.874229+00:00"},{"alias_kind":"doi","alias_value":"10.48550/arxiv.1702.05451","created_at":"2026-05-18T00:32:59.874229+00:00"},{"alias_kind":"pith_short_12","alias_value":"R2FMKB6OSCJK","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_16","alias_value":"R2FMKB6OSCJKMVFS","created_at":"2026-05-18T12:31:39.905425+00:00"},{"alias_kind":"pith_short_8","alias_value":"R2FMKB6O","created_at":"2026-05-18T12:31:39.905425+00:00"}],"events":[],"event_summary":{},"paper_claims":[],"inbound_citations":{"count":0,"internal_anchor_count":0,"sample":[]},"formal_canon":{"evidence_count":0,"sample":[],"anchors":[]},"links":{"html":"https://pith.science/pith/R2FMKB6OSCJKMVFSOAOCJVFVNN","json":"https://pith.science/pith/R2FMKB6OSCJKMVFSOAOCJVFVNN.json","graph_json":"https://pith.science/api/pith-number/R2FMKB6OSCJKMVFSOAOCJVFVNN/graph.json","events_json":"https://pith.science/api/pith-number/R2FMKB6OSCJKMVFSOAOCJVFVNN/events.json","paper":"https://pith.science/paper/R2FMKB6O"},"agent_actions":{"view_html":"https://pith.science/pith/R2FMKB6OSCJKMVFSOAOCJVFVNN","download_json":"https://pith.science/pith/R2FMKB6OSCJKMVFSOAOCJVFVNN.json","view_paper":"https://pith.science/paper/R2FMKB6O","resolve_alias":"https://pith.science/api/pith-number/resolve?arxiv=1702.05451&json=true","fetch_graph":"https://pith.science/api/pith-number/R2FMKB6OSCJKMVFSOAOCJVFVNN/graph.json","fetch_events":"https://pith.science/api/pith-number/R2FMKB6OSCJKMVFSOAOCJVFVNN/events.json","actions":{"anchor_timestamp":"https://pith.science/pith/R2FMKB6OSCJKMVFSOAOCJVFVNN/action/timestamp_anchor","attest_storage":"https://pith.science/pith/R2FMKB6OSCJKMVFSOAOCJVFVNN/action/storage_attestation","attest_author":"https://pith.science/pith/R2FMKB6OSCJKMVFSOAOCJVFVNN/action/author_attestation","sign_citation":"https://pith.science/pith/R2FMKB6OSCJKMVFSOAOCJVFVNN/action/citation_signature","submit_replication":"https://pith.science/pith/R2FMKB6OSCJKMVFSOAOCJVFVNN/action/replication_record"}},"created_at":"2026-05-18T00:32:59.874229+00:00","updated_at":"2026-05-18T00:32:59.874229+00:00"}